Nonperturbative features of the axial current
Abstract
We study the nonperturbative structure of the axial current and evaluate the two-point light-cone distribution amplitudes (DA) associated with the correlator \int d\xi exp(-iq\xi)<0|\bar{\psi}(x)\Gamma\psi(y)J_{\mu}^{5}(\xi)|0> within the instanton vacuum model in the leading order in O(1/N_c). Due to the built-in chiral symmetry, four of eight axial DAs are related to that for pions. Knowledge of these nonperturbative objects is important for phenomenological study of high-energy neutrino interactions and semileptonic decays of heavy quarks. We provide a code for evaluation of these DAs and an interpolation formula valid in the region Q^2 < 1 GeV^2.
Keywords
Cite
@article{arxiv.1108.5654,
title = {Nonperturbative features of the axial current},
author = {B. Z. Kopeliovich and Ivan Schmidt and M. Siddikov},
journal= {arXiv preprint arXiv:1108.5654},
year = {2013}
}
Comments
22 pages, 10 Figures, improved and extended presentation. We provide a code which can be used for evaluations of the distribution amplitudes (see "Ancillary files" attached to this arXiv preprint)